The naXys institute specializes in the analysis of complex systems, whether in astronomy and dynamic cosmology, mathematical biology, optimization in optics, economic complexity or the study of the stability and robustness of these systems.

Quel est le point commun entre le cerveau humain, les réseaux sociaux, les systèmes financiers, l'univers, les systèmes optiques, le métabolisme ou le génome ? 

Ce sont des exemples classiques de systèmes complexes, c'est-à-dire des systèmes composés d'un grand nombre d'éléments simples en interaction et présentant des phénomènes émergents. L'objectif principal de l'Institut de recherche naXys est l'étude de ces systèmes complexes, à travers l'analyse de données réelles, leur modélisation par les mathématiques et les simulations numériques, leur contrôle et leur optimisation. 

Notre conviction est qu'une bonne compréhension des systèmes nécessite une étape de modélisation, qui permet d'identifier les relations de cause à effet entre les différents paramètres et d'identifier les mécanismes par lesquels ils opèrent. Cette abstraction doit être basée sur une validation empirique, mais l'exploitation des données seules n'est ni suffisante ni satisfaisante. C'est pourquoi une connaissance du domaine spécifique et l'utilisation d'outils adéquats de modélisation, d'analyse et de simulation sont indispensables.

Les axes de recherche

  • Astronomie dynamique, cosmologie et astrobiologie (SPACE)
  • Biologie mathématique (BIO)
  • Ingénierie optique et optique quantique (OPTICS)
  • Algorithmes d'optimisation, intelligence artificielle et robotique (AI)
  • Complexité socio-économique (ECO)
  • Stabilité et robustesse (ROBUST)

Spotlight

News

PHOENIX: Revitalizing Heritage Sciences at UNamur

Heritage, culture and society
Physics and astronomy
History

With the PHOENIX project, UNamur is revisiting a long-standing area of expertise: heritage sciences. Using cutting-edge techniques and artificial intelligence, a transdisciplinary team of experts in history, archaeology, and physics has set out to renew our understanding of heritage objects in order to uncover their origins, methods of production, and uses. Under their scrutiny: ancient coins and medieval parchments. 

Parchemin entrée au monastère

Heritage sciences are experiencing a resurgence at UNamur. This field of research—which involves applying techniques and expertise from the exact sciences (physics, chemistry, biology) to study ancient heritage objects—is reinventing itself thanks to the PHOENIX project, led by seven researchers from the Faculties of Science (Department of Physics) and Philosophy and Letters (Departments of History and Classical Languages and Literatures). 

“PHOENIX emerged from the collaboration of several researchers from different backgrounds, yet all driven by the same desire to study the materiality of heritage objects. One notable figure is Julien Colaux, whose predecessor had led the first heritage science projects at UNamur’s Laboratory of Analysis by Nuclear Reactions (LARN). It’s a sort of return to our roots, recalls Nicolas Ruffini-Ronzani, a researcher in the Department of History, president of the PaTHs Institute, and one of the project’s leaders. 

A threefold objective 

With PHOENIX, researchers aim to “make” two types of objects speak: ancient coins and medieval parchments (see box). More specifically, their research is guided by three objectives:

  • To understand the composition of the artifacts being studied. For the parchments, to identify the animal species (sheep, goat, or calf); and for the coins, to characterize the metal alloy.
  • Gain a better understanding of the production and processing workflow. For example, determine which parts of the animal were used in the production of a parchment.
  • To propose the most precise dating possible. 

It is in this last objective that the main challenge lies. “We won’t be able to date these objects to within a year, warns Olivier Deparis, a professor in the Department of Physics and a member of the NISM research institute. “The idea is to provide a time frame that is as precise, if not more so, than that already provided by paleography (the study of ancient scripts) or textual analysis. If we can narrow it down to a quarter-century, that will already be a significant step forward.”

Fostering dialogue between the humanities and the natural sciences 

To achieve this, the PHOENIX team uses various non-invasive techniques, in particular infrared and Raman spectroscopy, time-of-flight secondary ion mass spectrometry (ToF-SIMS), and ion beam analysis (IBA). These approaches—which utilize UNamur’s state-of-the-art tools such as the ALTAÏS particle accelerator (see Omalius #36)—provide detailed information on the physicochemical composition of materials, such as the animal origin and ink formulations for parchments or the type of metal alloy for coins. “The use of the exact sciences will enrich our studies and thus allow us to better understand how these objects were produced in the past, explains Nicolas Ruffini-Ronzani. “Contrary to what one might think, collaboration between the humanities and the exact sciences has a long history, dating back to the 19th century, and even much earlier in the case of coins.”

A breath of fresh air thanks to artificial intelligence

These tools will make it possible to examine parchments and coins down to the finest detail, at the pixel level. These in-depth analyses therefore generate a colossal volume of raw data to process. This is where artificial intelligence comes into play to speed up the processing and reveal the information “hidden” in the data, identifying major trends invisible to the naked eye. 

Above all, it will provide a boost in meeting the challenge of dating the objects under study. Dated documents, such as charters, will thus be used as references to test the model’s robustness by comparing the results obtained with already known dates. “If the results are convincing, the technique could be applied to undated documents, says Nicolas Ruffini-Ronzani. This would represent a significant breakthrough in historical research.

“The use of machine learning methods is not a panacea, Olivier Deparis qualifies, however. “We wanted to explore it as an open-ended question to assess its benefits.”

PHOENIX could thus herald a new era for heritage sciences, where artificial intelligence—much like the phoenix after which the project is named—opens up new ways to analyze and understand materials from the past.

Greek coins and banknotes

The PHOENIX corpus covers two types of heritage objects: 

  • A collection of 168 silver coins associated with the city of Argos (Greece), from the private collection of Tony Hackens (1937–1999), former professor of Archaeology at UCLouvain.
  • Several hundred medieval and modern charters from the archives of the Cistercian Abbey of Notre-Dame du Vivier (Marche-les-Dames, Namur), currently held at the State Archives in Namur.
Projet Phoenix

Meet the team 

  • Francesca Cecchet (Department of Physics – NISM and NARILIS Institutes)
  • Lucas Baseil (Department of Physics – NISM Institute)
  • Julien Colaux (Department of Physics – NISM and PaTHs Institutes)
  • Olivier Deparis (Department of Physics – NISM, naXys, and PaTHs Institutes)
  • Christophe Flament (Department of Classical Languages and Literatures – PaTHs Institute)
  • Louise Fauchier (Department of Classical Languages and Literature – PaTHs Institute)
  • Laurent Houssiau (Department of Physics – NISM Institute)
  • Alexandre Mayer (Department of Physics – NISM and naXys Institutes)
  • Giulia Morabito (Department of Physics – NISM and PaTHs Institutes)
  • Nicolas Ruffini-Ronzani (Department of History – PaTHs Institute)
  • Nicolas Gros (Department of Physics – NISM and PaTHs Institutes)
  • Manon Bart (Department of Physics – NISM and naXys Institutes)
Photo d'équipe PHOENIX

The PHOENIX project is funded by the Concerted Research Action (ARC) program from September 2024 to August 2029. It is a continuation of the interdisciplinary Pergamenum21 project, launched in 2014 by the Moretus Plantin University Library (BUMP) under the leadership of Professor Olivier Deparis and dedicated to the scientific study of parchment with a view to improving conservation practices.

The PHOENIX Project at the First Lego League Challenge               

Young people from Rochefort showcased the PHOENIX project at the international First Lego League competition, a robotics contest open to students aged 10 to 16. To align with the annual theme focused on new technologies in the field of archaeology, this team from the Rochefort Youth and Culture Center drew inspiration from IBA technology to develop a research game designed to identify the origin of Ancient Greek coins modeled using a 3D printer. Their project caught the jury’s eye and earned them a spot in the national finals, which took place last March. Beyond the competition, this original game will be presented during Family Day at the Malagne Archaeological Park (Rochefort). 

Phoenix - Make it 2026 - étudiants

This article is taken from the "Eureka" section of Omalius magazine, Issue #40 (April 2026).

cover-magazine-omalius-avril-2026

Win4Doc | Predicting Failures to Better Protect Space Infrastructure

Space

Detecting a failure before it occurs: that is the goal of the research being conducted by Antoine Hubermont, a doctoral student at UNamur. This project, named Monsater, is funded by SPW Research as part of the Win4Doc program in collaboration with the space company Telespazio Belgium. It addresses a key strategic challenge: ensuring the reliability of complex systems, particularly in the space sector. 

Station de Redu - Projet Monsater - Win4Doc du SPW Recherche

In his research, Antoine Hubermont, a member of naXys (Namur Institute for Complex Systems), focuses specifically on the infrastructure that enables the operation of Galileo, the European satellite navigation system. 

“We use it every day, but few people know that we have a European GPS, Galileo, based on a constellation of satellites orbiting more than 23,000 kilometers above Earth,” he explains. 

Using artificial intelligence methods, Antoine Hubermont is developing tools capable of predicting the onset of failures. 

More specifically, the Monsater project aims to create a platform that allows for visualizing and predicting the status of this equipment, assessing the risk of failure, and identifying anomalies in order to initiate a process to restore their functions. The platform integrates and combines the detection and prediction capabilities of artificial intelligence-based solutions with the technical capabilities of robotic solutions. 

In this work, Antoine Hubermont is supervised by Professor Elio Tuci, a member of naXys and professor at the Faculty of Computer Science at UNamur. 

Watch the video about the project

Win4Doc - Un doctorat en entreprise (SPW recherche) - vignette illustrative des vidéos

Win4doc

Win4Doc is a program established by Wallonia (SPW Research) that enables a Walloon company to hire a researcher to conduct doctoral research in collaboration with a university research unit.

Logo Wallonie

Industrial PhD Programs at UNamur

Alexandre Mauroy: "Mathematics are everywhere!

Mathematics

Alexandre Mauroy has been a professor and researcher in the Department of Mathematics for almost 10 years, working in the field of dynamical systems. He is also Director of the naXys Research Institute, which puts its expertise in complex systems at the service of UNamur researchers from all disciplines. Aware of the sometimes austere reputation of maths among the general public, Alexandre Mauroy works to demonstrate that this discipline is at the heart of today's technological and scientific challenges.

.

Alexandre Mauroy

Alexandre Mauroy trained as a civil engineer. With a passion for mathematics, he embarked on an academic career that led him to specialize in the study of dynamic systems. A choice that reflects his taste for solving complex problems: "Dynamic systems are phenomena that evolve over time in a non-linear fashion, and do not obey the laws of proportionality. They therefore represent a real challenge for mathematicians, as their equations cannot be solved directly. And yet, non-linear systems are all around us, starting with the weather, our biological clock, road traffic or even the movement of a simple pendulum. So it's a very rich subject."

The Koopman operator or the mathematical magic wand

In his work, Alexandre Mauroy develops methods to better understand these dynamical systems. His stint at the University of Santa Barbara in California from 2011 to 2013 introduced him to operator theory, and in particular the Koopman operator, an original method for studying these unsolvable equations : "The idea may seem counter-intuitive, because we transform a finite-dimensional system into an infinite-dimensional one. It is then described by an infinite number of variables, but it becomes linear and can therefore be solved more easily. It's like using a kind of mathematical magic wand", he explains.

Koopman's operator is not new, however: it was first demonstrated in the 1930s before falling into oblivion. It was only revived in the 2000s. "It was the very beginning of the renaissance of this approach, we were pioneers", recalls Alexandre Mauroy. "Today, the Koopman operator has become very trendy in the scientific community."

And for good reason, many applications are possible thanks to this method. Among those studied by Alexandre Mauroy:

  • The study of global stability of equilibria.
  • The identification of network structure from observed data (e.g. connections between neurons in the brain or interactions between people).
  • Control theory, halfway between mathematics and engineering sciences, which aims to impose the behavior of the dynamic system (e.g. car cruise control).

In this last field, Alexandre Mauroy is collaborating with Elio Tuci (Faculty of Computer Science) on the ARC "AUTOMATic" project, which aims to develop an intelligent urban traffic management system, thanks to data collected by drones. This project illustrates the interdisciplinary dimension of the naXys Institute's research and the "applied math" specificity of the teaching at UNamur's Mathematics Department, which is unique in the Wallonia-Brussels Federation.

.

Dusting off the image of mathematics

In addition to his research activities, Alexandre Mauroy is involved in outreach work with secondary school students. The aim? To show that a world "without maths" would be very different from our own.

Image
Alexandre Mauroy

When we use Google, ChatGPT, or even when we watch Netflix, we use mathematical algorithms.

Alexandre Mauroy Professor and researcher in the Department of Mathematics

His message is clear: mathematics is everywhere, and mathematicians have a role to play alongside engineers and computer scientists, particularly in meeting the technological challenges of today and tomorrow.

.

Biodiversity of American rivers analyzed over 30 years

Biodiversity
Biology

A team of American researchers, with the help of Frédérik De Laender, professor in the Department of Biology at UNamur, has just published in the prestigious journal Nature. Their study describes how changing stream temperatures and human introductions of fish can alter river biodiversity in the USA.

Poissons dans la rivière

In 2021, Professor Frédérik De Laender was approached by American researchers to contribute to a study on the evolution of aquatic diversity in rivers in the USA. The aim: to analyze changes in aquatic diversity and identify the factors behind them. To answer this question, the researchers analyzed data collected over thirty years, covering 389 fish species in nearly 3,000 rivers and streams.

"There was already a lot of data on aquatic diversity in the USA, but it was scattered, recorded in different formats and produced using a variety of techniques and methodologies," explains Frédérik De Laender. "The challenge was therefore to harmonize them, in order to form a coherent whole, capable of revealing trends over several decades and on a continental scale."

Observed trends

In this study entitled "Diverging fish biodiversity trends in cold and warm rivers and streams" researchers studied 389 fish species in 2,992 rivers and streams, between 1993 and 2019. The results show contrasting trends depending on water temperature:

  • In cold waters (< 15.4°C), the number of fish fell by 53% and the number of species by 32%. Small fish have declined, replaced by larger species often introduced for sport fishing.
  • In warm waters (> 23.8°C), by contrast, the number of individuals has increased by 70% and diversity by 16%, with small opportunistic species dominating.
  • Intermediate streams (15-24°C) showed little change.

These trends show that temperature changes and the introduction of certain fish species for fishing are helping to transform local aquatic communities.

Image
Frédérik De Laender

The good news is that our results also indicate that targeted management actions, such as river restoration, limiting introductions or adapting fishing practices, can have a positive impact.

Frédérik De Laender Professor, Department of Biology, UNamur

Frédérik De Laender - Mini CV

Frédérik De Laender is Professor in the Biology Department at the University of Namur, where he heads the Environmental Ecology of Ecosystems Laboratory (ECCOLOGY lab). He is director of the Environmental and Evolutionary Biology Research Unit (URBE) and also a member of the Life-Earth-Environment (ILEE) and Complex Systems (naXys) Institutes at UNamur.

Frederik De Laender

Frédérik De Laender is a theoretical community ecologist who studies the links between environmental change, biodiversity and ecosystem functioning. Primarily focused on modeling, he has also conducted experiments on plankton and contributed to meta-analyses. His work focuses in particular on ecological stability and coexistence, to better understand the mechanisms that determine community composition.

La recherche au Département de biologie

Le Département de biologie, riche de ses professeurs permanents mène une recherche scientifique internationale de pointe. Celle-ci se répartit entre 5 unités de recherche abordant des thématiques variées de biologie cellulaire et moléculaire, de microbiologie moléculaire, de biologie environnementale et évolutive, de biologie végétale et de didactique.  

PHOENIX: Revitalizing Heritage Sciences at UNamur

Heritage, culture and society
Physics and astronomy
History

With the PHOENIX project, UNamur is revisiting a long-standing area of expertise: heritage sciences. Using cutting-edge techniques and artificial intelligence, a transdisciplinary team of experts in history, archaeology, and physics has set out to renew our understanding of heritage objects in order to uncover their origins, methods of production, and uses. Under their scrutiny: ancient coins and medieval parchments. 

Parchemin entrée au monastère

Heritage sciences are experiencing a resurgence at UNamur. This field of research—which involves applying techniques and expertise from the exact sciences (physics, chemistry, biology) to study ancient heritage objects—is reinventing itself thanks to the PHOENIX project, led by seven researchers from the Faculties of Science (Department of Physics) and Philosophy and Letters (Departments of History and Classical Languages and Literatures). 

“PHOENIX emerged from the collaboration of several researchers from different backgrounds, yet all driven by the same desire to study the materiality of heritage objects. One notable figure is Julien Colaux, whose predecessor had led the first heritage science projects at UNamur’s Laboratory of Analysis by Nuclear Reactions (LARN). It’s a sort of return to our roots, recalls Nicolas Ruffini-Ronzani, a researcher in the Department of History, president of the PaTHs Institute, and one of the project’s leaders. 

A threefold objective 

With PHOENIX, researchers aim to “make” two types of objects speak: ancient coins and medieval parchments (see box). More specifically, their research is guided by three objectives:

  • To understand the composition of the artifacts being studied. For the parchments, to identify the animal species (sheep, goat, or calf); and for the coins, to characterize the metal alloy.
  • Gain a better understanding of the production and processing workflow. For example, determine which parts of the animal were used in the production of a parchment.
  • To propose the most precise dating possible. 

It is in this last objective that the main challenge lies. “We won’t be able to date these objects to within a year, warns Olivier Deparis, a professor in the Department of Physics and a member of the NISM research institute. “The idea is to provide a time frame that is as precise, if not more so, than that already provided by paleography (the study of ancient scripts) or textual analysis. If we can narrow it down to a quarter-century, that will already be a significant step forward.”

Fostering dialogue between the humanities and the natural sciences 

To achieve this, the PHOENIX team uses various non-invasive techniques, in particular infrared and Raman spectroscopy, time-of-flight secondary ion mass spectrometry (ToF-SIMS), and ion beam analysis (IBA). These approaches—which utilize UNamur’s state-of-the-art tools such as the ALTAÏS particle accelerator (see Omalius #36)—provide detailed information on the physicochemical composition of materials, such as the animal origin and ink formulations for parchments or the type of metal alloy for coins. “The use of the exact sciences will enrich our studies and thus allow us to better understand how these objects were produced in the past, explains Nicolas Ruffini-Ronzani. “Contrary to what one might think, collaboration between the humanities and the exact sciences has a long history, dating back to the 19th century, and even much earlier in the case of coins.”

A breath of fresh air thanks to artificial intelligence

These tools will make it possible to examine parchments and coins down to the finest detail, at the pixel level. These in-depth analyses therefore generate a colossal volume of raw data to process. This is where artificial intelligence comes into play to speed up the processing and reveal the information “hidden” in the data, identifying major trends invisible to the naked eye. 

Above all, it will provide a boost in meeting the challenge of dating the objects under study. Dated documents, such as charters, will thus be used as references to test the model’s robustness by comparing the results obtained with already known dates. “If the results are convincing, the technique could be applied to undated documents, says Nicolas Ruffini-Ronzani. This would represent a significant breakthrough in historical research.

“The use of machine learning methods is not a panacea, Olivier Deparis qualifies, however. “We wanted to explore it as an open-ended question to assess its benefits.”

PHOENIX could thus herald a new era for heritage sciences, where artificial intelligence—much like the phoenix after which the project is named—opens up new ways to analyze and understand materials from the past.

Greek coins and banknotes

The PHOENIX corpus covers two types of heritage objects: 

  • A collection of 168 silver coins associated with the city of Argos (Greece), from the private collection of Tony Hackens (1937–1999), former professor of Archaeology at UCLouvain.
  • Several hundred medieval and modern charters from the archives of the Cistercian Abbey of Notre-Dame du Vivier (Marche-les-Dames, Namur), currently held at the State Archives in Namur.
Projet Phoenix

Meet the team 

  • Francesca Cecchet (Department of Physics – NISM and NARILIS Institutes)
  • Lucas Baseil (Department of Physics – NISM Institute)
  • Julien Colaux (Department of Physics – NISM and PaTHs Institutes)
  • Olivier Deparis (Department of Physics – NISM, naXys, and PaTHs Institutes)
  • Christophe Flament (Department of Classical Languages and Literatures – PaTHs Institute)
  • Louise Fauchier (Department of Classical Languages and Literature – PaTHs Institute)
  • Laurent Houssiau (Department of Physics – NISM Institute)
  • Alexandre Mayer (Department of Physics – NISM and naXys Institutes)
  • Giulia Morabito (Department of Physics – NISM and PaTHs Institutes)
  • Nicolas Ruffini-Ronzani (Department of History – PaTHs Institute)
  • Nicolas Gros (Department of Physics – NISM and PaTHs Institutes)
  • Manon Bart (Department of Physics – NISM and naXys Institutes)
Photo d'équipe PHOENIX

The PHOENIX project is funded by the Concerted Research Action (ARC) program from September 2024 to August 2029. It is a continuation of the interdisciplinary Pergamenum21 project, launched in 2014 by the Moretus Plantin University Library (BUMP) under the leadership of Professor Olivier Deparis and dedicated to the scientific study of parchment with a view to improving conservation practices.

The PHOENIX Project at the First Lego League Challenge               

Young people from Rochefort showcased the PHOENIX project at the international First Lego League competition, a robotics contest open to students aged 10 to 16. To align with the annual theme focused on new technologies in the field of archaeology, this team from the Rochefort Youth and Culture Center drew inspiration from IBA technology to develop a research game designed to identify the origin of Ancient Greek coins modeled using a 3D printer. Their project caught the jury’s eye and earned them a spot in the national finals, which took place last March. Beyond the competition, this original game will be presented during Family Day at the Malagne Archaeological Park (Rochefort). 

Phoenix - Make it 2026 - étudiants

This article is taken from the "Eureka" section of Omalius magazine, Issue #40 (April 2026).

cover-magazine-omalius-avril-2026

Win4Doc | Predicting Failures to Better Protect Space Infrastructure

Space

Detecting a failure before it occurs: that is the goal of the research being conducted by Antoine Hubermont, a doctoral student at UNamur. This project, named Monsater, is funded by SPW Research as part of the Win4Doc program in collaboration with the space company Telespazio Belgium. It addresses a key strategic challenge: ensuring the reliability of complex systems, particularly in the space sector. 

Station de Redu - Projet Monsater - Win4Doc du SPW Recherche

In his research, Antoine Hubermont, a member of naXys (Namur Institute for Complex Systems), focuses specifically on the infrastructure that enables the operation of Galileo, the European satellite navigation system. 

“We use it every day, but few people know that we have a European GPS, Galileo, based on a constellation of satellites orbiting more than 23,000 kilometers above Earth,” he explains. 

Using artificial intelligence methods, Antoine Hubermont is developing tools capable of predicting the onset of failures. 

More specifically, the Monsater project aims to create a platform that allows for visualizing and predicting the status of this equipment, assessing the risk of failure, and identifying anomalies in order to initiate a process to restore their functions. The platform integrates and combines the detection and prediction capabilities of artificial intelligence-based solutions with the technical capabilities of robotic solutions. 

In this work, Antoine Hubermont is supervised by Professor Elio Tuci, a member of naXys and professor at the Faculty of Computer Science at UNamur. 

Watch the video about the project

Win4Doc - Un doctorat en entreprise (SPW recherche) - vignette illustrative des vidéos

Win4doc

Win4Doc is a program established by Wallonia (SPW Research) that enables a Walloon company to hire a researcher to conduct doctoral research in collaboration with a university research unit.

Logo Wallonie

Industrial PhD Programs at UNamur

Alexandre Mauroy: "Mathematics are everywhere!

Mathematics

Alexandre Mauroy has been a professor and researcher in the Department of Mathematics for almost 10 years, working in the field of dynamical systems. He is also Director of the naXys Research Institute, which puts its expertise in complex systems at the service of UNamur researchers from all disciplines. Aware of the sometimes austere reputation of maths among the general public, Alexandre Mauroy works to demonstrate that this discipline is at the heart of today's technological and scientific challenges.

.

Alexandre Mauroy

Alexandre Mauroy trained as a civil engineer. With a passion for mathematics, he embarked on an academic career that led him to specialize in the study of dynamic systems. A choice that reflects his taste for solving complex problems: "Dynamic systems are phenomena that evolve over time in a non-linear fashion, and do not obey the laws of proportionality. They therefore represent a real challenge for mathematicians, as their equations cannot be solved directly. And yet, non-linear systems are all around us, starting with the weather, our biological clock, road traffic or even the movement of a simple pendulum. So it's a very rich subject."

The Koopman operator or the mathematical magic wand

In his work, Alexandre Mauroy develops methods to better understand these dynamical systems. His stint at the University of Santa Barbara in California from 2011 to 2013 introduced him to operator theory, and in particular the Koopman operator, an original method for studying these unsolvable equations : "The idea may seem counter-intuitive, because we transform a finite-dimensional system into an infinite-dimensional one. It is then described by an infinite number of variables, but it becomes linear and can therefore be solved more easily. It's like using a kind of mathematical magic wand", he explains.

Koopman's operator is not new, however: it was first demonstrated in the 1930s before falling into oblivion. It was only revived in the 2000s. "It was the very beginning of the renaissance of this approach, we were pioneers", recalls Alexandre Mauroy. "Today, the Koopman operator has become very trendy in the scientific community."

And for good reason, many applications are possible thanks to this method. Among those studied by Alexandre Mauroy:

  • The study of global stability of equilibria.
  • The identification of network structure from observed data (e.g. connections between neurons in the brain or interactions between people).
  • Control theory, halfway between mathematics and engineering sciences, which aims to impose the behavior of the dynamic system (e.g. car cruise control).

In this last field, Alexandre Mauroy is collaborating with Elio Tuci (Faculty of Computer Science) on the ARC "AUTOMATic" project, which aims to develop an intelligent urban traffic management system, thanks to data collected by drones. This project illustrates the interdisciplinary dimension of the naXys Institute's research and the "applied math" specificity of the teaching at UNamur's Mathematics Department, which is unique in the Wallonia-Brussels Federation.

.

Dusting off the image of mathematics

In addition to his research activities, Alexandre Mauroy is involved in outreach work with secondary school students. The aim? To show that a world "without maths" would be very different from our own.

Image
Alexandre Mauroy

When we use Google, ChatGPT, or even when we watch Netflix, we use mathematical algorithms.

Alexandre Mauroy Professor and researcher in the Department of Mathematics

His message is clear: mathematics is everywhere, and mathematicians have a role to play alongside engineers and computer scientists, particularly in meeting the technological challenges of today and tomorrow.

.

Biodiversity of American rivers analyzed over 30 years

Biodiversity
Biology

A team of American researchers, with the help of Frédérik De Laender, professor in the Department of Biology at UNamur, has just published in the prestigious journal Nature. Their study describes how changing stream temperatures and human introductions of fish can alter river biodiversity in the USA.

Poissons dans la rivière

In 2021, Professor Frédérik De Laender was approached by American researchers to contribute to a study on the evolution of aquatic diversity in rivers in the USA. The aim: to analyze changes in aquatic diversity and identify the factors behind them. To answer this question, the researchers analyzed data collected over thirty years, covering 389 fish species in nearly 3,000 rivers and streams.

"There was already a lot of data on aquatic diversity in the USA, but it was scattered, recorded in different formats and produced using a variety of techniques and methodologies," explains Frédérik De Laender. "The challenge was therefore to harmonize them, in order to form a coherent whole, capable of revealing trends over several decades and on a continental scale."

Observed trends

In this study entitled "Diverging fish biodiversity trends in cold and warm rivers and streams" researchers studied 389 fish species in 2,992 rivers and streams, between 1993 and 2019. The results show contrasting trends depending on water temperature:

  • In cold waters (< 15.4°C), the number of fish fell by 53% and the number of species by 32%. Small fish have declined, replaced by larger species often introduced for sport fishing.
  • In warm waters (> 23.8°C), by contrast, the number of individuals has increased by 70% and diversity by 16%, with small opportunistic species dominating.
  • Intermediate streams (15-24°C) showed little change.

These trends show that temperature changes and the introduction of certain fish species for fishing are helping to transform local aquatic communities.

Image
Frédérik De Laender

The good news is that our results also indicate that targeted management actions, such as river restoration, limiting introductions or adapting fishing practices, can have a positive impact.

Frédérik De Laender Professor, Department of Biology, UNamur

Frédérik De Laender - Mini CV

Frédérik De Laender is Professor in the Biology Department at the University of Namur, where he heads the Environmental Ecology of Ecosystems Laboratory (ECCOLOGY lab). He is director of the Environmental and Evolutionary Biology Research Unit (URBE) and also a member of the Life-Earth-Environment (ILEE) and Complex Systems (naXys) Institutes at UNamur.

Frederik De Laender

Frédérik De Laender is a theoretical community ecologist who studies the links between environmental change, biodiversity and ecosystem functioning. Primarily focused on modeling, he has also conducted experiments on plankton and contributed to meta-analyses. His work focuses in particular on ecological stability and coexistence, to better understand the mechanisms that determine community composition.

La recherche au Département de biologie

Le Département de biologie, riche de ses professeurs permanents mène une recherche scientifique internationale de pointe. Celle-ci se répartit entre 5 unités de recherche abordant des thématiques variées de biologie cellulaire et moléculaire, de microbiologie moléculaire, de biologie environnementale et évolutive, de biologie végétale et de didactique.  

All news

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